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Finding the Fourth Proportional to 1,057.32, 1,458.12 and 725.10

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Solution

The fourth proportional to 1,057.32, 1,458.12 and 725.10 is: 999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.32 : 1,458.12 = 725.10 : x
  2. Step 2: Convert to fraction form
    1,057.32/1,458.12 = 725.10/x
  3. Step 3: Cross multiply
    1,057.32x = 1,458.12 × 725.10
  4. Step 4: Simplify right side
    1,057.32x = 1,057,282.81
  5. Step 5: Solve for x
    x = 1,057,282.81/1,057.32
  6. Step 6: Final answer
    x = 999.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.